The study of Hamiltonian dynamical systems plays a fundamental role in many different contexts, both in pure and applied mathematics. Indeed, most of the physical laws ruling our everyday lives --the motion of the celestial bodies in the universe, the geodesic flow on a manifold, a large set of mechanical systems-- they all share a common feature consisting in what is called a ''Hamiltonian structure''.
Recent advances in the study of Hamiltonian systems have been made possible thanks to a fruitful interaction between diverse ideas and techniques coming from dynamical systems, nonlinear analysis, PDE theory and symplectic geometry.
The School-Workshop aims at outlining these interactions and consist of 4 courses (6 hours each) lectured by well-known experts in the field.
● M.-C. Arnaud (Univ. Avignon) Tonelli Hamiltonians and their integrability.
● G. Benedetti (Univ. Leipzig) Systolic inequalities in contact and symplectic geometry.
● A. Fathi (Georgia Tech.) Some properties of viscosity solutions on a non-compact manifold.
● V. Humilière (Univ. Pierre et Marie Curie) Action selectors from symplectic topology and applications.
Speakers will outline a panorama of the state of the art, with emphasis on their recent contributions to the field. The meeting is aimed at all researchers interested in Hamiltonian dynamical systems and related topics. Contributed Talks concerning the themes of the School-Workshop are welcome.
